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Kurganov, Alexander

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Author ID: kurganov.alexander Recent zbMATH articles by "Kurganov, Alexander"
Published as: Kurganov, Alexander; Kurganov, A.
External Links: ORCID
Documents Indexed: 110 Publications since 1997
Co-Authors: 83 Co-Authors with 106 Joint Publications
2,153 Co-Co-Authors
all top 5

Co-Authors

2 single-authored
43 Chertock, Alina E.
17 Petrova, Guergana
10 Wu, Tong
9 Liu, Yongle
7 Liu, Xin
5 Cheng, Yuanzhen
5 Herty, Michael Matthias
5 Lukáčová-Medvid’ová, Mária
5 Mohammadian, Abdolmajid M.
5 Qu, Zhuolin
5 Rosenau, Philip S.
5 Tadmor, Eitan
4 Chu, Shaoshuai
4 Cui, Shumo
4 Epshteyn, Yekaterina
4 Karni, Smadar
4 Levy, Doron
3 Zeitlin, Vladimir
2 Bryson, Steve
2 Castro-Díaz, Manuel Jesús
2 Doering, Charles Rogers
2 Garg, Naveen Kumar
2 Infante Sedano, Julio Angel
2 Kashdan, Eugene
2 Kurochkin, Dmitry
2 Miller, Jason
2 Noelle, Sebastian
2 Özcan, Şeyma Nur
2 Polizzi, Anthony
1 Albright, Jason
1 Beljadid, Abdelaziz
1 Bernstein, Andrew
1 Bollermann, Andreas
1 Cao, Yangyang
1 Chen, Guoxian
1 Chen, Yunlong
1 Coco, Armando
1 Constantin, Lucian A.
1 Dewar, Jeremy D.
1 Don, Wai Sun
1 Dontcheva, Lubomira A.
1 Dudzinski, Michael
1 Fellner, Klemens
1 Ghazizadeh, Mohammad A.
1 Goodman, Jonathan B.
1 Hu, Hengrui
1 Johnston, Hans
1 Kao, Chiu-Yen
1 Kirr, Eduard
1 Kliakhandler, Igor L.
1 Klingenberg, Christian F.
1 Lei, Minlan
1 Leopold, Maren
1 Lin, Chitien
1 Liu, Yingjie
1 Lorz, Alexander
1 Markowich, Peter Alexander
1 Medovikov, Alexei A.
1 Morales de Luna, Tomás
1 Na, Mingye
1 Otero, Jesse
1 Popov, Boyan
1 Prugger, Martina
1 Ranch, Jeffrey
1 Ricchiuto, Mario
1 Rozanova, Olga S.
1 Russo, Giovanni
1 Rykov, Yurii G.
1 Seidou, Ousmane
1 Shirkhani, Hamidreza
1 Tang, Tao
1 Timofeyev, Ilya
1 Wang, Baoshan
1 Wang, Xuefeng
1 Wang, Ying
1 Wolfkill, Karlan
1 Worthing, Rodney A.
1 Wu, Yaping
1 Xin, Ruixiao
1 Yan, Jun
1 Yang, Suo
1 Yu, Hui
1 Zenk, Markus
all top 5

Serials

14 Journal of Computational Physics
11 Journal of Scientific Computing
8 SIAM Journal on Scientific Computing
6 Communications in Computational Physics
5 Communications in Mathematical Sciences
5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
4 Nonlinearity
4 Numerische Mathematik
4 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
3 Computers and Fluids
3 SIAM Journal on Numerical Analysis
3 Numerical Methods for Partial Differential Equations
2 Communications on Pure and Applied Mathematics
2 Journal of Fluid Mechanics
2 Applied Numerical Mathematics
2 Advances in Computational Mathematics
2 Kinetic and Related Models
1 Computers & Mathematics with Applications
1 Geophysical and Astrophysical Fluid Dynamics
1 IMA Journal of Numerical Analysis
1 International Journal for Numerical Methods in Fluids
1 Calcolo
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 SIAM Journal on Mathematical Analysis
1 Computational Optimization and Applications
1 Mathematical Modelling and Analysis
1 Discrete and Continuous Dynamical Systems. Series B
1 Computational Methods in Applied Mathematics
1 Bulletin of the Brazilian Mathematical Society. New Series
1 Acta Numerica
1 Networks and Heterogeneous Media
1 Communications in Mathematical Research
1 SMAI Journal of Computational Mathematics
1 Communications on Applied Mathematics and Computation

Publications by Year

Citations contained in zbMATH Open

97 Publications have been cited 2,288 times in 1,257 Documents Cited by Year
New high-resolution central schemes for nonlinear conservation laws and convection-diffusion equations. Zbl 0987.65085
Kurganov, Alexander; Tadmor, Eitan
342
2000
Semidiscrete central-upwind schemes for hyperbolic conservation laws and Hamilton-Jacobi equations. Zbl 0998.65091
Kurganov, Alexander; Noelle, Sebastian; Petrova, Guergana
175
2001
Solution of two-dimensional Riemann problems for gas dynamics without Riemann problem solvers. Zbl 1058.76046
Kurganov, Alexander; Tadmor, Eitan
126
2002
Central-upwind schemes for the Saint-Venant system. Zbl 1137.65398
Kurganov, Alexander; Levy, Doron
124
2002
A second-order well-balanced positivity preserving central-upwind scheme for the Saint-Venant system. Zbl 1226.76008
Kurganov, Alexander; Petrova, Guergana
114
2007
On a chemotaxis model with saturated chemotactic flux. Zbl 1398.92033
Chertock, Alina; Kurganov, Alexander; Wang, Xuefeng; Wu, Yaping
70
2012
Sinking, merging and stationary plumes in a coupled chemotaxis-fluid model: a high-resolution numerical approach. Zbl 1250.76191
Chertock, A.; Fellner, K.; Kurganov, A.; Lorz, A.; Markowich, P. A.
64
2012
A third-order semidiscrete central scheme for conservation laws and convection-diffusion equations. Zbl 0979.65077
Kurganov, Alexander; Levy, Doron
61
2000
A second-order positivity preserving central-upwind scheme for chemotaxis and haptotaxis models. Zbl 1307.92045
Chertock, Alina; Kurganov, Alexander
58
2008
Adaptive semidiscrete central-upwind schemes for nonconvex hyperbolic conservation laws. Zbl 1154.65356
Kurganov, Alexander; Petrova, Guergana; Popov, Bojan
58
2007
On the reduction of numerical dissipation in central-upwind schemes. Zbl 1164.65455
Kurganov, Alexander; Lin, Chitien
57
2007
Well-balanced positivity preserving central-upwind scheme on triangular grids for the Saint-Venant system. Zbl 1267.76068
Bryson, Steve; Epshteyn, Yekaterina; Kurganov, Alexander; Petrova, Guergana
47
2011
New interior penalty discontinuous Galerkin methods for the Keller-Segel chemotaxis model. Zbl 1183.92010
Epshteyn, Yekaterina; Kurganov, Alexander
44
2009
A well-balanced reconstruction of wet/dry fronts for the shallow water equations. Zbl 1426.76337
Bollermann, Andreas; Chen, Guoxian; Kurganov, Alexander; Noelle, Sebastian
42
2013
Central-upwind schemes on triangular grids for hyperbolic systems of conservation laws. Zbl 1071.65122
Kurganov, Alexander; Petrova, Guergana
41
2005
New high-resolution semi-discrete central schemes for Hamilton-Jacobi equations. Zbl 0961.65077
Kurganov, Alexander; Tadmor, Eitan
39
2000
A third-order semi-discrete genuinely multidimensional central scheme for hyperbolic conservation laws and related problems. Zbl 0987.65090
Kurganov, Alexander; Petrova, Guergana
36
2001
High-Rayleigh-number convection in a fluid-saturated porous layer. Zbl 1134.76462
Otero, Jesse; Dontcheva, Lubomira A.; Johnston, Hans; Worthing, Rodney A.; Kurganov, Alexander; Petrova, Guergana; Doering, Charles R.
34
2004
Well-balanced schemes for the Euler equations with gravitation: conservative formulation using global fluxes. Zbl 1381.76316
Chertock, Alina; Cui, Shumo; Kurganov, Alexander; Özcan, Şeyma Nur; Tadmor, Eitan
29
2018
Central-upwind schemes for two-layer shallow water equations. Zbl 1188.76230
Kurganov, Alexander; Petrova, Guergana
28
2009
Steady state and sign preserving semi-implicit Runge-Kutta methods for ODEs with stiff damping term. Zbl 1327.65128
Chertock, Alina; Cui, Shumo; Kurganov, Alexander; Wu, Tong
26
2015
Central-upwind schemes for the system of shallow water equations with horizontal temperature gradients. Zbl 1342.76081
Chertock, Alina; Kurganov, Alexander; Liu, Yu
25
2014
On reaction processes with saturating diffusion. Zbl 1094.35063
Kurganov, Alexander; Rosenau, Philip
24
2006
A smoothness indicator for adaptive algorithms for hyperbolic systems. Zbl 0998.65092
Karni, Smadar; Kurganov, Alexander; Petrova, Guergana
24
2002
Finite-volume schemes for shallow-water equations. Zbl 1430.76372
Kurganov, Alexander
22
2018
Numerical study of two-species chemotaxis models. Zbl 1282.92011
Kurganov, Alexander; Lukáčová-Medviďová, Mária
22
2014
New adaptive artificial viscosity method for hyperbolic systems of conservation laws. Zbl 1284.65112
Kurganov, Alexander; Liu, Yu
19
2012
A new sticky particle method for pressureless gas dynamics. Zbl 1234.35145
Chertock, Alina; Kurganov, Alexander; Rykov, Yurii
18
2007
Non-oscillatory central schemes for traffic flow models with Arrhenius look-ahead dynamics. Zbl 1183.76817
Kurganov, Alexander; Polizzi, Anthony
18
2009
Pedestrian flow models with slowdown interactions. Zbl 1282.90041
Chertock, Alina; Kurganov, Alexander; Polizzi, Anthony; Timofeyev, Ilya
18
2014
High-order positivity-preserving hybrid finite-volume-finite-difference methods for chemotaxis systems. Zbl 1380.92011
Chertock, Alina; Epshteyn, Yekaterina; Hu, Hengrui; Kurganov, Alexander
17
2018
Formation of discontinuities in flux-saturated degenerate parabolic equations. Zbl 1049.35111
Chertock, Alina; Kurganov, Alexander; Rosenau, Philip
17
2003
Fast and stable explicit operator splitting methods for phase-field models. Zbl 1349.80038
Cheng, Yuanzhen; Kurganov, Alexander; Qu, Zhuolin; Tang, Tao
17
2015
Interface tracking method for compressible multifluids. Zbl 1232.76030
Chertock, Alina; Karni, Smadar; Kurganov, Alexander
17
2008
A new approach for designing moving-water equilibria preserving schemes for the shallow water equations. Zbl 1418.76033
Cheng, Yuanzhen; Chertock, Alina; Herty, Michael; Kurganov, Alexander; Wu, Tong
16
2019
Effects of a saturating dissipation in Burgers-type equations. Zbl 0888.35097
Kurganov, A.; Rosenau, P.
16
1997
Fast explicit operator splitting method for convection-diffusion equations. Zbl 1157.65436
Chertock, Alina; Kurganov, Alexander; Petrova, Guergana
16
2009
Breakdown in Burgers-type equations with saturating dissipation fluxes. Zbl 0946.35039
Goodman, Jonathan; Kurganov, Alexander; Rosenau, Philip
15
1999
Well-balanced schemes for the shallow water equations with Coriolis forces. Zbl 1448.65097
Chertock, Alina; Dudzinski, Michael; Kurganov, Alexander; Lukáčová-Medvid’ová, Mária
14
2018
Well-balanced positivity preserving central-upwind scheme with a novel wet/dry reconstruction on triangular grids for the Saint-Venant system. Zbl 1416.65295
Liu, Xin; Albright, Jason; Epshteyn, Yekaterina; Kurganov, Alexander
14
2018
Central schemes and contact discontinuities. Zbl 0972.65055
Kurganov, Alexander; Petrova, Guergana
14
2000
Local error analysis for approximate solutions of hyperbolic conservation laws. Zbl 1127.65070
Karni, Smadar; Kurganov, Alexander
14
2005
Compressible two-phase flows by central and upwind schemes. Zbl 1079.76045
Karni, Smadar; Kirr, Eduard; Kurganov, Alexander; Petrova, Guergana
14
2004
Well-balanced positivity preserving cell-vertex central-upwind scheme for shallow water flows. Zbl 1390.76395
Beljadid, Abdelaziz; Mohammadian, Abdolmajid; Kurganov, Alexander
13
2016
On a hybrid finite-volume-particle method. Zbl 1077.65091
Chertock, Alina; Kurganov, Alexander
13
2004
Finite-volume-particle methods for models of transport of pollutant in shallow water. Zbl 1101.76036
Chertock, Alina; Kurganov, Alexander; Petrova, Guergana
12
2006
A well-balanced positivity-preserving central-upwind scheme for shallow water equations on unstructured quadrilateral grids. Zbl 1390.76516
Shirkhani, Hamidreza; Mohammadian, Abdolmajid; Seidou, Ousmane; Kurganov, Alexander
11
2016
Three-layer approximation of two-layer shallow water equations. Zbl 1290.76032
Chertock, Alina; Kurganov, Alexander; Qu, Zhuolin; Wu, Tong
11
2013
Second-order fully discrete central-upwind scheme for two-dimensional hyperbolic systems of conservation laws. Zbl 1364.76117
Kurganov, Alexander; Prugger, Martina; Wu, Tong
11
2017
Well-balanced central-upwind scheme for a fully coupled shallow water system modeling flows over erodible bed. Zbl 1349.76357
Liu, Xin; Mohammadian, Abdolmajid; Kurganov, Alexander; Infante Sedano, Julio Angel
11
2015
On splitting-based numerical methods for convection-diffusion equations. Zbl 1266.65143
Chertock, Alina; Kurganov, Alexander
11
2009
Path-conservative central-upwind schemes for nonconservative hyperbolic systems. Zbl 1418.76034
Díaz, Manuel Jesús Castro; Kurganov, Alexander; de Luna, Tomás Morales
10
2019
On a practical implementation of particle methods. Zbl 1103.65103
Chertock, Alina; Kurganov, Alexander
10
2006
Semi-discrete central-upwind schemes with reduced dissipation for Hamilton-Jacobi equations. Zbl 1066.65083
Bryson, Steve; Kurganov, Alexander; Levy, Doron; Petrova, Guergana
10
2005
Numerical method for optimal control problems governed by nonlinear hyperbolic systems of PDEs. Zbl 1308.49020
Herty, Michael; Kurganov, Alexander; Kurochkin, Dmitry
9
2015
Moving-water equilibria preserving central-upwind schemes for the shallow water equations. Zbl 1349.76317
Cheng, Yuanzhen; Kurganov, Alexander
8
2016
Central-upwind scheme for Savage-Hutter type model of submarine landslides and generated tsunami waves. Zbl 1302.76115
Kurganov, Alexander; Miller, Jason
7
2014
On Burgers-type equations with nonmonotonic dissipative fluxes. Zbl 0929.35138
Kurganov, Alexander; Levy, Doron; Rosenau, Philip
7
1998
On degenerate saturated-diffusion equations with convection. Zbl 1067.35037
Chertock, Alina; Kurganov, Alexander; Rosenau, Philip
7
2005
A fast explicit operator splitting method for passive scalar advection. Zbl 1203.76126
Chertock, Alina; Doering, Charles R.; Kashdan, Eugene; Kurganov, Alexander
7
2010
Stiff systems of hyperbolic conservation laws: convergence and error estimates. Zbl 0963.35119
Kurganov, A.; Tadmor, E.
6
1997
Propagation of diffusing pollutant by a hybrid Eulerian-Lagrangian method. Zbl 1354.76115
Chertock, A.; Kashdan, E.; Kurganov, A.
6
2008
A simple Eulerian finite volume method for compressible fluids in domains with moving boundaries. Zbl 1149.76032
Chertock, Alina; Kurganov, Alexander
6
2008
An asymptotic preserving scheme for the two-dimensional shallow water equations with Coriolis forces. Zbl 1452.65192
Liu, Xin; Chertock, Alina; Kurganov, Alexander
6
2019
Fifth-order A-WENO finite-difference schemes based on a new adaptive diffusion central numerical flux. Zbl 1457.65063
Wang, Bao-Shan; Don, Wai Sun; Garg, Naveen K.; Kurganov, Alexander
6
2020
A well-balanced central-upwind scheme for the thermal rotating shallow water equations. Zbl 1436.65123
Kurganov, Alexander; Liu, Yongle; Zeitlin, Vladimir
6
2020
An asymptotic preserving scheme for kinetic chemotaxis models in two space dimensions. Zbl 1407.92027
Chertock, Alina; Kurganov, Alexander; Lukáčová-Medviďová, Mária; Özcan, Şeyma Nur
5
2019
Pressure-based adaption indicator for compressible Euler equations. Zbl 1331.76078
Dewar, Jeremy; Kurganov, Alexander; Leopold, Maren
5
2015
Adaptive central-upwind schemes for Hamilton-Jacobi equations with nonconvex Hamiltonians. Zbl 1115.65093
Kurganov, Alexander; Petrova, Guergana
5
2006
Fast explicit operator splitting method. Application to the polymer system. Zbl 1374.82033
Chertock, Alina; Kurganov, Alexander; Petrova, Guergana
5
2005
A fast explicit operator splitting method for modified Buckley-Leverett equations. Zbl 1327.76098
Kao, Chiu-Yen; Kurganov, Alexander; Qu, Zhuolin; Wang, Ying
4
2015
An Eulerian-Lagrangian method for optimization problems governed by multidimensional nonlinear hyperbolic PDEs. Zbl 1306.49047
Chertock, Alina; Herty, Michael; Kurganov, Alexander
4
2014
The order of accuracy of quadrature formulae for periodic functions. Zbl 1196.65058
Kurganov, Alexander; Ranch, Jeffrey
4
2009
Moving-water equilibria preserving HLL-type schemes for the shallow water equations. Zbl 1463.76035
Klingenberg, Christian; Kurganov, Alexander; Liu, Yongle; Zenk, Markus
4
2020
Computing multivalued solutions of pressureless gas dynamics by deterministic particle methods. Zbl 1364.76171
Chertock, Alina; Kurganov, Alexander
3
2009
Well-balancing via flux globalization: applications to shallow water equations with wet/dry fronts. Zbl 1492.76084
Chertock, Alina; Kurganov, Alexander; Liu, Xin; Liu, Yongle; Wu, Tong
3
2022
A second-order finite-difference method for compressible fluids in domains with moving boundaries. Zbl 1488.76097
Chertock, Alina; Coco, Armando; Kurganov, Alexander; Russo, Giovanni
3
2018
On convergence of numerical methods for optimization problems governed by scalar hyperbolic conservation laws. Zbl 1407.49042
Herty, Michael; Kurganov, Alexander; Kurochkin, Dmitry
2
2018
Adaptive moving mesh central-upwind schemes for hyperbolic system of PDEs: applications to compressible Euler equations and granular hydrodynamics. Zbl 07479331
Kurganov, Alexander; Qu, Zhuolin; Rozanova, Olga S.; Wu, Tong
2
2021
Adaptive central-upwind schemes for hyperbolic systems of conservation laws. Zbl 1103.35072
Constantin, Lucian A.; Kurganov, Alexander
2
2006
An accurate deterministic projection method for hyperbolic systems with stiff source term. Zbl 1134.76735
Kurganov, Alexander
2
2003
Central-upwind scheme for shallow water equations with discontinuous bottom topography. Zbl 1338.76072
Bernstein, Andrew; Chertock, Alina; Kurganov, Alexander
2
2016
Well-balanced central schemes on overlapping cells with constant subtraction techniques for the Saint-Venant shallow water system. Zbl 1320.76086
Yang, Suo; Kurganov, Alexander; Liu, Yingjie
2
2015
Adaptive moving mesh upwind scheme for the two-species chemotaxis model. Zbl 1442.92014
Chertock, Alina; Kurganov, Alexander; Ricchiuto, Mario; Wu, Tong
2
2019
Solving two-mode shallow water equations using finite volume methods. Zbl 1373.76124
Diaz, Manuel Jesús Castro; Cheng, Yuanzhen; Chertock, Alina; Kurganov, Alexander
2
2014
Conservative locally moving mesh method for multifluid flows. Zbl 1374.76125
Chertock, Alina; Kurganov, Alexander
2
2005
High-resolution positivity and asymptotic preserving numerical methods for chemotaxis and related models. Zbl 1453.92047
Chertock, Alina; Kurganov, Alexander
2
2019
Moving-water equilibria preserving partial relaxation scheme for the Saint-Venant system. Zbl 1446.76133
Liu, Xin; Chen, Xi; Jin, Shi; Kurganov, Alexander; Wu, Tong; Yu, Hui
2
2020
An adaptive well-balanced positivity preserving central-upwind scheme on quadtree grids for shallow water equations. Zbl 07335336
Ghazizadeh, Mohammad A.; Mohammadian, Abdolmajid; Kurganov, Alexander
2
2020
Numerical dissipation switch for two-dimensional central-upwind schemes. Zbl 1485.76058
Kurganov, Alexander; Liu, Yongle; Zeitlin, Vladimir
2
2021
Hybrid finite-volume-particle method for dusty gas flows. Zbl 1416.76143
Chertock, Alina; Cui, Shumo; Kurganov, Alexander
1
2017
Finite-volume-particle methods for the two-component Camassa-Holm system. Zbl 1473.65135
Chertock, Alina; Kurganov, Alexander; Liu, Yongle
1
2020
Semi-discrete central-upwind Rankine-Hugoniot schemes for hyperbolic systems of conservation laws. Zbl 07511432
Garg, Naveen Kumar; Kurganov, Alexander; Liu, Yongle
1
2021
An adaptive artificial viscosity method for the Saint-Venant system. Zbl 1381.76234
Chen, Yunlong; Kurganov, Alexander; Lei, Minlan; Liu, Yu
1
2013
Three-dimensional shallow water system: a relaxation approach. Zbl 1375.35385
Liu, Xin; Mohammadian, Abdolmajid; Infante Sedano, Julio Ángel; Kurganov, Alexander
1
2017
Central-upwind scheme for a non-hydrostatic Saint-Venant system. Zbl 1460.65105
Chertock, Alina; Kurganov, Alexander; Miller, Jason; Yan, Jun
1
2020
Thermal versus isothermal rotating shallow water equations: comparison of dynamical processes by simulations with a novel well-balanced central-upwind scheme. Zbl 1482.76087
Kurganov, Alexander; Liu, Yongle; Zeitlin, Vladimir
1
2021
Well-balancing via flux globalization: applications to shallow water equations with wet/dry fronts. Zbl 1492.76084
Chertock, Alina; Kurganov, Alexander; Liu, Xin; Liu, Yongle; Wu, Tong
3
2022
Adaptive moving mesh central-upwind schemes for hyperbolic system of PDEs: applications to compressible Euler equations and granular hydrodynamics. Zbl 07479331
Kurganov, Alexander; Qu, Zhuolin; Rozanova, Olga S.; Wu, Tong
2
2021
Numerical dissipation switch for two-dimensional central-upwind schemes. Zbl 1485.76058
Kurganov, Alexander; Liu, Yongle; Zeitlin, Vladimir
2
2021
Semi-discrete central-upwind Rankine-Hugoniot schemes for hyperbolic systems of conservation laws. Zbl 07511432
Garg, Naveen Kumar; Kurganov, Alexander; Liu, Yongle
1
2021
Thermal versus isothermal rotating shallow water equations: comparison of dynamical processes by simulations with a novel well-balanced central-upwind scheme. Zbl 1482.76087
Kurganov, Alexander; Liu, Yongle; Zeitlin, Vladimir
1
2021
Fifth-order A-WENO finite-difference schemes based on a new adaptive diffusion central numerical flux. Zbl 1457.65063
Wang, Bao-Shan; Don, Wai Sun; Garg, Naveen K.; Kurganov, Alexander
6
2020
A well-balanced central-upwind scheme for the thermal rotating shallow water equations. Zbl 1436.65123
Kurganov, Alexander; Liu, Yongle; Zeitlin, Vladimir
6
2020
Moving-water equilibria preserving HLL-type schemes for the shallow water equations. Zbl 1463.76035
Klingenberg, Christian; Kurganov, Alexander; Liu, Yongle; Zenk, Markus
4
2020
Moving-water equilibria preserving partial relaxation scheme for the Saint-Venant system. Zbl 1446.76133
Liu, Xin; Chen, Xi; Jin, Shi; Kurganov, Alexander; Wu, Tong; Yu, Hui
2
2020
An adaptive well-balanced positivity preserving central-upwind scheme on quadtree grids for shallow water equations. Zbl 07335336
Ghazizadeh, Mohammad A.; Mohammadian, Abdolmajid; Kurganov, Alexander
2
2020
Finite-volume-particle methods for the two-component Camassa-Holm system. Zbl 1473.65135
Chertock, Alina; Kurganov, Alexander; Liu, Yongle
1
2020
Central-upwind scheme for a non-hydrostatic Saint-Venant system. Zbl 1460.65105
Chertock, Alina; Kurganov, Alexander; Miller, Jason; Yan, Jun
1
2020
A new approach for designing moving-water equilibria preserving schemes for the shallow water equations. Zbl 1418.76033
Cheng, Yuanzhen; Chertock, Alina; Herty, Michael; Kurganov, Alexander; Wu, Tong
16
2019
Path-conservative central-upwind schemes for nonconservative hyperbolic systems. Zbl 1418.76034
Díaz, Manuel Jesús Castro; Kurganov, Alexander; de Luna, Tomás Morales
10
2019
An asymptotic preserving scheme for the two-dimensional shallow water equations with Coriolis forces. Zbl 1452.65192
Liu, Xin; Chertock, Alina; Kurganov, Alexander
6
2019
An asymptotic preserving scheme for kinetic chemotaxis models in two space dimensions. Zbl 1407.92027
Chertock, Alina; Kurganov, Alexander; Lukáčová-Medviďová, Mária; Özcan, Şeyma Nur
5
2019
Adaptive moving mesh upwind scheme for the two-species chemotaxis model. Zbl 1442.92014
Chertock, Alina; Kurganov, Alexander; Ricchiuto, Mario; Wu, Tong
2
2019
High-resolution positivity and asymptotic preserving numerical methods for chemotaxis and related models. Zbl 1453.92047
Chertock, Alina; Kurganov, Alexander
2
2019
Well-balanced schemes for the Euler equations with gravitation: conservative formulation using global fluxes. Zbl 1381.76316
Chertock, Alina; Cui, Shumo; Kurganov, Alexander; Özcan, Şeyma Nur; Tadmor, Eitan
29
2018
Finite-volume schemes for shallow-water equations. Zbl 1430.76372
Kurganov, Alexander
22
2018
High-order positivity-preserving hybrid finite-volume-finite-difference methods for chemotaxis systems. Zbl 1380.92011
Chertock, Alina; Epshteyn, Yekaterina; Hu, Hengrui; Kurganov, Alexander
17
2018
Well-balanced schemes for the shallow water equations with Coriolis forces. Zbl 1448.65097
Chertock, Alina; Dudzinski, Michael; Kurganov, Alexander; Lukáčová-Medvid’ová, Mária
14
2018
Well-balanced positivity preserving central-upwind scheme with a novel wet/dry reconstruction on triangular grids for the Saint-Venant system. Zbl 1416.65295
Liu, Xin; Albright, Jason; Epshteyn, Yekaterina; Kurganov, Alexander
14
2018
A second-order finite-difference method for compressible fluids in domains with moving boundaries. Zbl 1488.76097
Chertock, Alina; Coco, Armando; Kurganov, Alexander; Russo, Giovanni
3
2018
On convergence of numerical methods for optimization problems governed by scalar hyperbolic conservation laws. Zbl 1407.49042
Herty, Michael; Kurganov, Alexander; Kurochkin, Dmitry
2
2018
Second-order fully discrete central-upwind scheme for two-dimensional hyperbolic systems of conservation laws. Zbl 1364.76117
Kurganov, Alexander; Prugger, Martina; Wu, Tong
11
2017
Hybrid finite-volume-particle method for dusty gas flows. Zbl 1416.76143
Chertock, Alina; Cui, Shumo; Kurganov, Alexander
1
2017
Three-dimensional shallow water system: a relaxation approach. Zbl 1375.35385
Liu, Xin; Mohammadian, Abdolmajid; Infante Sedano, Julio Ángel; Kurganov, Alexander
1
2017
Well-balanced positivity preserving cell-vertex central-upwind scheme for shallow water flows. Zbl 1390.76395
Beljadid, Abdelaziz; Mohammadian, Abdolmajid; Kurganov, Alexander
13
2016
A well-balanced positivity-preserving central-upwind scheme for shallow water equations on unstructured quadrilateral grids. Zbl 1390.76516
Shirkhani, Hamidreza; Mohammadian, Abdolmajid; Seidou, Ousmane; Kurganov, Alexander
11
2016
Moving-water equilibria preserving central-upwind schemes for the shallow water equations. Zbl 1349.76317
Cheng, Yuanzhen; Kurganov, Alexander
8
2016
Central-upwind scheme for shallow water equations with discontinuous bottom topography. Zbl 1338.76072
Bernstein, Andrew; Chertock, Alina; Kurganov, Alexander
2
2016
Steady state and sign preserving semi-implicit Runge-Kutta methods for ODEs with stiff damping term. Zbl 1327.65128
Chertock, Alina; Cui, Shumo; Kurganov, Alexander; Wu, Tong
26
2015
Fast and stable explicit operator splitting methods for phase-field models. Zbl 1349.80038
Cheng, Yuanzhen; Kurganov, Alexander; Qu, Zhuolin; Tang, Tao
17
2015
Well-balanced central-upwind scheme for a fully coupled shallow water system modeling flows over erodible bed. Zbl 1349.76357
Liu, Xin; Mohammadian, Abdolmajid; Kurganov, Alexander; Infante Sedano, Julio Angel
11
2015
Numerical method for optimal control problems governed by nonlinear hyperbolic systems of PDEs. Zbl 1308.49020
Herty, Michael; Kurganov, Alexander; Kurochkin, Dmitry
9
2015
Pressure-based adaption indicator for compressible Euler equations. Zbl 1331.76078
Dewar, Jeremy; Kurganov, Alexander; Leopold, Maren
5
2015
A fast explicit operator splitting method for modified Buckley-Leverett equations. Zbl 1327.76098
Kao, Chiu-Yen; Kurganov, Alexander; Qu, Zhuolin; Wang, Ying
4
2015
Well-balanced central schemes on overlapping cells with constant subtraction techniques for the Saint-Venant shallow water system. Zbl 1320.76086
Yang, Suo; Kurganov, Alexander; Liu, Yingjie
2
2015
Central-upwind schemes for the system of shallow water equations with horizontal temperature gradients. Zbl 1342.76081
Chertock, Alina; Kurganov, Alexander; Liu, Yu
25
2014
Numerical study of two-species chemotaxis models. Zbl 1282.92011
Kurganov, Alexander; Lukáčová-Medviďová, Mária
22
2014
Pedestrian flow models with slowdown interactions. Zbl 1282.90041
Chertock, Alina; Kurganov, Alexander; Polizzi, Anthony; Timofeyev, Ilya
18
2014
Central-upwind scheme for Savage-Hutter type model of submarine landslides and generated tsunami waves. Zbl 1302.76115
Kurganov, Alexander; Miller, Jason
7
2014
An Eulerian-Lagrangian method for optimization problems governed by multidimensional nonlinear hyperbolic PDEs. Zbl 1306.49047
Chertock, Alina; Herty, Michael; Kurganov, Alexander
4
2014
Solving two-mode shallow water equations using finite volume methods. Zbl 1373.76124
Diaz, Manuel Jesús Castro; Cheng, Yuanzhen; Chertock, Alina; Kurganov, Alexander
2
2014
A well-balanced reconstruction of wet/dry fronts for the shallow water equations. Zbl 1426.76337
Bollermann, Andreas; Chen, Guoxian; Kurganov, Alexander; Noelle, Sebastian
42
2013
Three-layer approximation of two-layer shallow water equations. Zbl 1290.76032
Chertock, Alina; Kurganov, Alexander; Qu, Zhuolin; Wu, Tong
11
2013
An adaptive artificial viscosity method for the Saint-Venant system. Zbl 1381.76234
Chen, Yunlong; Kurganov, Alexander; Lei, Minlan; Liu, Yu
1
2013
On a chemotaxis model with saturated chemotactic flux. Zbl 1398.92033
Chertock, Alina; Kurganov, Alexander; Wang, Xuefeng; Wu, Yaping
70
2012
Sinking, merging and stationary plumes in a coupled chemotaxis-fluid model: a high-resolution numerical approach. Zbl 1250.76191
Chertock, A.; Fellner, K.; Kurganov, A.; Lorz, A.; Markowich, P. A.
64
2012
New adaptive artificial viscosity method for hyperbolic systems of conservation laws. Zbl 1284.65112
Kurganov, Alexander; Liu, Yu
19
2012
Well-balanced positivity preserving central-upwind scheme on triangular grids for the Saint-Venant system. Zbl 1267.76068
Bryson, Steve; Epshteyn, Yekaterina; Kurganov, Alexander; Petrova, Guergana
47
2011
A fast explicit operator splitting method for passive scalar advection. Zbl 1203.76126
Chertock, Alina; Doering, Charles R.; Kashdan, Eugene; Kurganov, Alexander
7
2010
New interior penalty discontinuous Galerkin methods for the Keller-Segel chemotaxis model. Zbl 1183.92010
Epshteyn, Yekaterina; Kurganov, Alexander
44
2009
Central-upwind schemes for two-layer shallow water equations. Zbl 1188.76230
Kurganov, Alexander; Petrova, Guergana
28
2009
Non-oscillatory central schemes for traffic flow models with Arrhenius look-ahead dynamics. Zbl 1183.76817
Kurganov, Alexander; Polizzi, Anthony
18
2009
Fast explicit operator splitting method for convection-diffusion equations. Zbl 1157.65436
Chertock, Alina; Kurganov, Alexander; Petrova, Guergana
16
2009
On splitting-based numerical methods for convection-diffusion equations. Zbl 1266.65143
Chertock, Alina; Kurganov, Alexander
11
2009
The order of accuracy of quadrature formulae for periodic functions. Zbl 1196.65058
Kurganov, Alexander; Ranch, Jeffrey
4
2009
Computing multivalued solutions of pressureless gas dynamics by deterministic particle methods. Zbl 1364.76171
Chertock, Alina; Kurganov, Alexander
3
2009
A second-order positivity preserving central-upwind scheme for chemotaxis and haptotaxis models. Zbl 1307.92045
Chertock, Alina; Kurganov, Alexander
58
2008
Interface tracking method for compressible multifluids. Zbl 1232.76030
Chertock, Alina; Karni, Smadar; Kurganov, Alexander
17
2008
Propagation of diffusing pollutant by a hybrid Eulerian-Lagrangian method. Zbl 1354.76115
Chertock, A.; Kashdan, E.; Kurganov, A.
6
2008
A simple Eulerian finite volume method for compressible fluids in domains with moving boundaries. Zbl 1149.76032
Chertock, Alina; Kurganov, Alexander
6
2008
A second-order well-balanced positivity preserving central-upwind scheme for the Saint-Venant system. Zbl 1226.76008
Kurganov, Alexander; Petrova, Guergana
114
2007
Adaptive semidiscrete central-upwind schemes for nonconvex hyperbolic conservation laws. Zbl 1154.65356
Kurganov, Alexander; Petrova, Guergana; Popov, Bojan
58
2007
On the reduction of numerical dissipation in central-upwind schemes. Zbl 1164.65455
Kurganov, Alexander; Lin, Chitien
57
2007
A new sticky particle method for pressureless gas dynamics. Zbl 1234.35145
Chertock, Alina; Kurganov, Alexander; Rykov, Yurii
18
2007
On reaction processes with saturating diffusion. Zbl 1094.35063
Kurganov, Alexander; Rosenau, Philip
24
2006
Finite-volume-particle methods for models of transport of pollutant in shallow water. Zbl 1101.76036
Chertock, Alina; Kurganov, Alexander; Petrova, Guergana
12
2006
On a practical implementation of particle methods. Zbl 1103.65103
Chertock, Alina; Kurganov, Alexander
10
2006
Adaptive central-upwind schemes for Hamilton-Jacobi equations with nonconvex Hamiltonians. Zbl 1115.65093
Kurganov, Alexander; Petrova, Guergana
5
2006
Adaptive central-upwind schemes for hyperbolic systems of conservation laws. Zbl 1103.35072
Constantin, Lucian A.; Kurganov, Alexander
2
2006
Central-upwind schemes on triangular grids for hyperbolic systems of conservation laws. Zbl 1071.65122
Kurganov, Alexander; Petrova, Guergana
41
2005
Local error analysis for approximate solutions of hyperbolic conservation laws. Zbl 1127.65070
Karni, Smadar; Kurganov, Alexander
14
2005
Semi-discrete central-upwind schemes with reduced dissipation for Hamilton-Jacobi equations. Zbl 1066.65083
Bryson, Steve; Kurganov, Alexander; Levy, Doron; Petrova, Guergana
10
2005
On degenerate saturated-diffusion equations with convection. Zbl 1067.35037
Chertock, Alina; Kurganov, Alexander; Rosenau, Philip
7
2005
Fast explicit operator splitting method. Application to the polymer system. Zbl 1374.82033
Chertock, Alina; Kurganov, Alexander; Petrova, Guergana
5
2005
Conservative locally moving mesh method for multifluid flows. Zbl 1374.76125
Chertock, Alina; Kurganov, Alexander
2
2005
High-Rayleigh-number convection in a fluid-saturated porous layer. Zbl 1134.76462
Otero, Jesse; Dontcheva, Lubomira A.; Johnston, Hans; Worthing, Rodney A.; Kurganov, Alexander; Petrova, Guergana; Doering, Charles R.
34
2004
Compressible two-phase flows by central and upwind schemes. Zbl 1079.76045
Karni, Smadar; Kirr, Eduard; Kurganov, Alexander; Petrova, Guergana
14
2004
On a hybrid finite-volume-particle method. Zbl 1077.65091
Chertock, Alina; Kurganov, Alexander
13
2004
Formation of discontinuities in flux-saturated degenerate parabolic equations. Zbl 1049.35111
Chertock, Alina; Kurganov, Alexander; Rosenau, Philip
17
2003
An accurate deterministic projection method for hyperbolic systems with stiff source term. Zbl 1134.76735
Kurganov, Alexander
2
2003
Solution of two-dimensional Riemann problems for gas dynamics without Riemann problem solvers. Zbl 1058.76046
Kurganov, Alexander; Tadmor, Eitan
126
2002
Central-upwind schemes for the Saint-Venant system. Zbl 1137.65398
Kurganov, Alexander; Levy, Doron
124
2002
A smoothness indicator for adaptive algorithms for hyperbolic systems. Zbl 0998.65092
Karni, Smadar; Kurganov, Alexander; Petrova, Guergana
24
2002
Semidiscrete central-upwind schemes for hyperbolic conservation laws and Hamilton-Jacobi equations. Zbl 0998.65091
Kurganov, Alexander; Noelle, Sebastian; Petrova, Guergana
175
2001
A third-order semi-discrete genuinely multidimensional central scheme for hyperbolic conservation laws and related problems. Zbl 0987.65090
Kurganov, Alexander; Petrova, Guergana
36
2001
New high-resolution central schemes for nonlinear conservation laws and convection-diffusion equations. Zbl 0987.65085
Kurganov, Alexander; Tadmor, Eitan
342
2000
A third-order semidiscrete central scheme for conservation laws and convection-diffusion equations. Zbl 0979.65077
Kurganov, Alexander; Levy, Doron
61
2000
New high-resolution semi-discrete central schemes for Hamilton-Jacobi equations. Zbl 0961.65077
Kurganov, Alexander; Tadmor, Eitan
39
2000
Central schemes and contact discontinuities. Zbl 0972.65055
Kurganov, Alexander; Petrova, Guergana
14
2000
Breakdown in Burgers-type equations with saturating dissipation fluxes. Zbl 0946.35039
Goodman, Jonathan; Kurganov, Alexander; Rosenau, Philip
15
1999
On Burgers-type equations with nonmonotonic dissipative fluxes. Zbl 0929.35138
Kurganov, Alexander; Levy, Doron; Rosenau, Philip
7
1998
Effects of a saturating dissipation in Burgers-type equations. Zbl 0888.35097
Kurganov, A.; Rosenau, P.
16
1997
Stiff systems of hyperbolic conservation laws: convergence and error estimates. Zbl 0963.35119
Kurganov, A.; Tadmor, E.
6
1997
all top 5

Cited by 1,890 Authors

64 Kurganov, Alexander
30 Chertock, Alina E.
20 Bürger, Raimund
20 Shu, Chi-Wang
16 Popov, Boyan
16 Xing, Yulong
14 Guermond, Jean-Luc
14 Lukáčová-Medvid’ová, Mária
13 Feng, Jianhu
13 Herty, Michael Matthias
12 Cai, Li
12 Gray, John Mark Nicholas Timm
11 Johnson, Christopher G.
11 Klar, Axel
11 Li, Gang
11 Seaïd, Mohammed
10 Fernández-Nieto, Enrique Domingo
10 Noelle, Sebastian
10 Qiu, Jianxian
10 Wang, Qi
10 Xie, Wenxian
9 Dehghan Takht Fooladi, Mehdi
9 Dumbser, Michael
9 Kang, Kyungkeun
9 Mohammadian, Abdolmajid M.
8 Berthon, Christophe
8 Dong, Jian
8 Epshteyn, Yekaterina
8 Liu, Xin
8 Morales de Luna, Tomás
8 Mulet, Pep
8 Omari, Pierpaolo
8 Perthame, Benoît
8 Tadmor, Eitan
8 Tang, Huazhong
8 Wu, Tong
7 Carrillo de la Plata, José Antonio
7 Castro-Díaz, Manuel Jesús
7 Karlsen, Kenneth Hvistendahl
7 Karni, Smadar
7 Kuzmin, Dmitri
7 Liu, Hailiang
7 Liu, Yongle
7 Pareschi, Lorenzo
7 Puppo, Gabriella
7 Qamar, Shamsul
7 Qian, Shouguo
7 Ricchiuto, Mario
7 Rohde, Christian
7 Russo, Giovanni
7 Winkler, Michael
7 Xiao, Feng
6 Berres, Stefan
6 Caselles Costa, Vicent
6 Chalons, Christophe
6 Chini, Gregory P.
6 De Luna, Manuel Quezada
6 Edwards, Andrew N.
6 Feng, Xinlong
6 Hesthaven, Jan S.
6 Klingenberg, Christian
6 Kröker, Ilja
6 Li, Jiequan
6 Parés Madroñal, Carlos
6 Petrova, Guergana
6 Risebro, Nils Henrik
6 Villada, Luis Miguel
6 Zhang, Qian
6 Zheng, Yuxi
6 Zia, Saqib
5 Abgrall, Rémi
5 Banda, Mapundi Kondwani
5 Beljadid, Abdelaziz
5 Benkhaldoun, Fayssal
5 Brodtkorb, André Rigland
5 Calvo, Juan G.
5 Castro, Manuel J.
5 Chen, Gui-Qiang G.
5 Chen, Guoxian
5 Cheng, Yingda
5 Degond, Pierre
5 Dubey, Ritesh Kumar
5 Duran, Arnaud
5 Escalante, Cipriano
5 Foucher, Françoise
5 Fu, Lin
5 Gao, Jinmei
5 Goatin, Paola
5 Ha, Youngsoo
5 Harris, Paul J.
5 Hogg, Andrew J.
5 Huang, Juntao
5 Lee, Yongki
5 Levy, Doron
5 Li, Fengyan
5 Li, Maojun
5 López-Gómez, Julián
5 Loubère, Raphaël
5 Mai Duc Thanh
5 Roberts, Stephen Gwyn
...and 1,790 more Authors
all top 5

Cited in 186 Serials

192 Journal of Computational Physics
107 Journal of Scientific Computing
86 Computers and Fluids
63 Journal of Fluid Mechanics
40 Applied Numerical Mathematics
39 Applied Mathematics and Computation
35 SIAM Journal on Scientific Computing
34 Computers & Mathematics with Applications
25 Computer Methods in Applied Mechanics and Engineering
24 Journal of Computational and Applied Mathematics
24 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
22 Communications in Computational Physics
21 Journal of Differential Equations
17 Applied Mathematical Modelling
15 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
14 Mathematics of Computation
13 Mathematics and Computers in Simulation
13 Discrete and Continuous Dynamical Systems
12 Numerische Mathematik
12 SIAM Journal on Numerical Analysis
11 International Journal for Numerical Methods in Fluids
11 Journal of Mathematical Analysis and Applications
11 Numerical Methods for Partial Differential Equations
11 Advances in Computational Mathematics
11 Discrete and Continuous Dynamical Systems. Series B
10 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
9 Physica D
9 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
8 Computational and Applied Mathematics
8 Computational Geosciences
8 Kinetic and Related Models
7 ZAMP. Zeitschrift für angewandte Mathematik und Physik
7 Applied Mathematics Letters
7 European Journal of Mechanics. B. Fluids
7 Nonlinear Analysis. Real World Applications
7 Advances in Applied Mathematics and Mechanics
6 Physics of Fluids
6 Engineering Analysis with Boundary Elements
6 International Journal of Computational Fluid Dynamics
6 Matematicheskoe Modelirovanie
6 Journal of Hyperbolic Differential Equations
6 Networks and Heterogeneous Media
5 Computer Physics Communications
5 Journal of Engineering Mathematics
5 Computational Mathematics and Mathematical Physics
5 Mathematical Problems in Engineering
5 Mathematical Biosciences and Engineering
4 Nonlinearity
4 Wave Motion
4 Bulletin of Mathematical Biology
4 SIAM Journal on Mathematical Analysis
4 Communications in Nonlinear Science and Numerical Simulation
4 International Journal of Computational Methods
3 Applicable Analysis
3 Archive for Rational Mechanics and Analysis
3 Communications in Mathematical Physics
3 Journal of Mathematical Biology
3 Journal of Mathematical Physics
3 Calcolo
3 International Journal for Numerical Methods in Engineering
3 Quarterly of Applied Mathematics
3 Acta Mathematicae Applicatae Sinica. English Series
3 Computing and Visualization in Science
3 Journal of Mathematical Fluid Mechanics
3 International Journal of Nonlinear Sciences and Numerical Simulation
3 Advanced Nonlinear Studies
3 Communications on Pure and Applied Analysis
3 Bulletin of the Brazilian Mathematical Society. New Series
3 Multiscale Modeling & Simulation
3 Journal of Cosmology and Astroparticle Physics
3 International Journal of Numerical Analysis and Modeling
3 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
3 Communications on Applied Mathematics and Computation
3 SN Partial Differential Equations and Applications
2 Geophysical and Astrophysical Fluid Dynamics
2 Mathematical Biosciences
2 Physica A
2 Physics Letters. A
2 BIT
2 Transactions of the American Mathematical Society
2 Acta Applicandae Mathematicae
2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
2 Communications in Partial Differential Equations
2 International Journal of Computer Mathematics
2 SIAM Journal on Applied Mathematics
2 Computational Optimization and Applications
2 International Journal of Numerical Methods for Heat & Fluid Flow
2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
2 Discrete Dynamics in Nature and Society
2 Living Reviews in Relativity
2 The ANZIAM Journal
2 Archives of Computational Methods in Engineering
2 SIAM Journal on Applied Dynamical Systems
2 International Journal of Differential Equations
2 Journal of Theoretical Biology
2 AMM. Applied Mathematics and Mechanics. (English Edition)
2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
2 SMAI Journal of Computational Mathematics
2 International Journal on Finite Volumes
...and 86 more Serials

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